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On disconjugacy for vector linear Hamiltonian systems on time scales

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F00%3A00008159" target="_blank" >RIV/00216224:14310/00:00008159 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On disconjugacy for vector linear Hamiltonian systems on time scales

  • Original language description

    In this work we present a unified treatment of continuous and discrete vector linear Hamiltonian systems on a general time scale T, with the matrix B<sub>t</sub> not necessarily invertible. This contains as special cases the Sturm-Liouville differentialand difference equations of higher order. We define generalized zeros for vector solutions (x,u) of the Hamiltonian system. From this we read off the corresponding definition of generalized zero points for solutions of the Sturm-Liouville equations, so that the well known continuous case (T=R) and recently developed discrete one (T=Z) are unified. We show that disconjugacy of the equation implies positivity of the corresponding quadratic functional.

  • Czech name

    On disconjugacy for vector linear Hamiltonian systems on time scales

  • Czech description

    In this work we present a unified treatment of continuous and discrete vector linear Hamiltonian systems on a general time scale T, with the matrix B<sub>t</sub> not necessarily invertible. This contains as special cases the Sturm-Liouville differentialand difference equations of higher order. We define generalized zeros for vector solutions (x,u) of the Hamiltonian system. From this we read off the corresponding definition of generalized zero points for solutions of the Sturm-Liouville equations, so that the well known continuous case (T=R) and recently developed discrete one (T=Z) are unified. We show that disconjugacy of the equation implies positivity of the corresponding quadratic functional.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2000

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Communications in Difference Equations: Proceedings of the Fourth International Conference on Difference Equations

  • ISBN

    90-5699-688-6

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    181-188

  • Publisher name

    Gordon and Breach

  • Place of publication

    Amsterdam

  • Event location

    Poznan

  • Event date

    Jan 1, 1998

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article